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- Größe: 13.05MB
Produktdetails
- Verlag: Springer Berlin Heidelberg
- Seitenzahl: 196
- Erscheinungstermin: 13. März 2013
- Englisch
- ISBN-13: 9783642846885
- Artikelnr.: 53387026
Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.
1: Introduction.- 1.1 Nature and scope of the work.- 1.2 Methodology.- 1.3 Innovations and conclusions.- 2: General aspects of incompressible flow. Theoretical review.- 2.1 Introduction.- 2.2 The Navier-Stokes equations for uniform, incompressible fluids.- 2.3 Initial and boundary conditions.- 2.4 The energy equation.- 2.5 The vorticity equation.- 2.6 The pressure Poisson equation for incompressible flows.- 2.7 General aspects of turbulent flows. Averaging methods and Reynolds equations.- 2.8 Turbulence transport equations.- 2.9 Turbulence models.- 2.10 Boundary conditions for K and ?.- 3: Mathematical modeling of breaking shallow water waves. Proposed methodology.- 3.1 Introduction.- 3.2 Physical processes.- 3.3 Mathematical descriptions.- 3.4 Wave theories for very shallow water.- 3.5 Summary of experimental investigations.- 3.6 Description of the proposed methodology.- 4: MAC-type methods for incompressible free-surface flows.- 4.1 Introduction.- 4.2 The choice of the mesh.- 4.3 The MAC (Marker-And-Cell) method.- 4.4 The projection method.- 4.5 The SMAC (Simplified-Marker-And-Cell) method.- 4.6 The pressure-velocity iteration method.- 4.7 Numerical treatment of free-surfaces.- 4.8 Stability considerations.- 4.9 Conclusions.- 5: Description of the numerical model.- 5.1 Introduction.- 5.2 Momentum equation approximations.- 5.3 Continuity equation approximation.- 5.4 Approximations for the K and ? equations.- 5.5 Updating the fluid configuration.- 5.6 Velocity boundary conditions.- 5.7 Boundary conditions for the K and ? equations.- 5.8 Initial conditions for the K and ? equations.- 5.9 Stability considerations.- 5.10 Programming considerations.- 5.11 Selected test problems.- 6: Numerical simulation of shallow water waves.- 6.1 Introduction.- 6.2 Propagation ofa solitary wave over a horizontal bottom.- 6.3 Collision between solitary waves.- 6.4 Simulation of undular, transitional and turbulent hydraulic jumps.- 6.5 Breaking of a solitary wave over a slope.- 6.6 Breaking of a train of solitary waves over a slope.- 7: Conclusions. Future research and development.- 7.1 Summary and conclusions.- 7.2 Future research and development.- References.
1: Introduction.- 1.1 Nature and scope of the work.- 1.2 Methodology.- 1.3 Innovations and conclusions.- 2: General aspects of incompressible flow. Theoretical review.- 2.1 Introduction.- 2.2 The Navier-Stokes equations for uniform, incompressible fluids.- 2.3 Initial and boundary conditions.- 2.4 The energy equation.- 2.5 The vorticity equation.- 2.6 The pressure Poisson equation for incompressible flows.- 2.7 General aspects of turbulent flows. Averaging methods and Reynolds equations.- 2.8 Turbulence transport equations.- 2.9 Turbulence models.- 2.10 Boundary conditions for K and ?.- 3: Mathematical modeling of breaking shallow water waves. Proposed methodology.- 3.1 Introduction.- 3.2 Physical processes.- 3.3 Mathematical descriptions.- 3.4 Wave theories for very shallow water.- 3.5 Summary of experimental investigations.- 3.6 Description of the proposed methodology.- 4: MAC-type methods for incompressible free-surface flows.- 4.1 Introduction.- 4.2 The choice of the mesh.- 4.3 The MAC (Marker-And-Cell) method.- 4.4 The projection method.- 4.5 The SMAC (Simplified-Marker-And-Cell) method.- 4.6 The pressure-velocity iteration method.- 4.7 Numerical treatment of free-surfaces.- 4.8 Stability considerations.- 4.9 Conclusions.- 5: Description of the numerical model.- 5.1 Introduction.- 5.2 Momentum equation approximations.- 5.3 Continuity equation approximation.- 5.4 Approximations for the K and ? equations.- 5.5 Updating the fluid configuration.- 5.6 Velocity boundary conditions.- 5.7 Boundary conditions for the K and ? equations.- 5.8 Initial conditions for the K and ? equations.- 5.9 Stability considerations.- 5.10 Programming considerations.- 5.11 Selected test problems.- 6: Numerical simulation of shallow water waves.- 6.1 Introduction.- 6.2 Propagation ofa solitary wave over a horizontal bottom.- 6.3 Collision between solitary waves.- 6.4 Simulation of undular, transitional and turbulent hydraulic jumps.- 6.5 Breaking of a solitary wave over a slope.- 6.6 Breaking of a train of solitary waves over a slope.- 7: Conclusions. Future research and development.- 7.1 Summary and conclusions.- 7.2 Future research and development.- References.